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Generalized Energy Condensation Theory

机译:广义能量凝聚理论

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摘要

A generalization of multigroup energy condensation theory has been developed. The new method generates a solution within the few-group framework that exhibits the energy spectrum characteristic of a many-group transport solution, without the computational time usually associated with such solutions. This is accomplished by expanding the energy dependence of the angular flux in a set of general orthogonal functions. The expansion leads to a set of equations for the angular flux moments in the few-group framework. The zeroth moment generates the standard few-group equation while the higher-moment equations generate the detailed spectral resolution within the few-group structure. It is shown that by carefully choosing the orthogonal function set (e.g., Legendre polynomials), the higher-moment equations are only coupled to the zeroth-order equation and not to each other. The decoupling makes the new method highly competitive with the standard few-group method since the computation time associated with determining the higher moments becomes negligible as a result of the decoupling. The method is verified in several one-dimensional benchmark problems typical of boiling water reactor configurations with mild to high heterogeneity.
机译:已经发展了多族能量凝聚理论的概括。新方法在少数组框架内生成一个解决方案,该解决方案显示了多组传输解决方案的能谱特性,而通常没有与此类解决方案相关的计算时间。这是通过在一组通用正交函数中扩展角通量的能量依赖性来实现的。扩展导致了少数群框架中的角通量矩的方程式。零矩产生标准的少数群方程,而较高矩的方程则产生少数群结构内的详细光谱分辨率。结果表明,通过仔细选择正交函数集(例如Legendre多项式),高矩方程仅与零阶方程耦合,而彼此不耦合。解耦使得新方法与标准的少数群体方法具有高度的竞争性,因为与解耦结果相比,与确定较高力矩相关的计算时间可以忽略不计。该方法已在具有轻度到高度异质性的沸水反应堆配置中常见的几个一维基准问题中得到了验证。

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